Convert the rectangular coordinates to polar coordinates wit

Convert the rectangular coordinates to polar coordinates with

r > 0 and 0 < 2

- square root of 6, -square root of 2

Solution

in polar coordinates x=rcos, y=rsin ,x²+y²=r²

given x=-6 , y=-2

r²=(-6)²+(-2)²

r²=6+2

r²=8

r=22

=+tan^-1(2_/6)

=+tan^-1(1_/3)

polarcoordinates are (r,)=(22 ,+tan^-1(1_/3)) or  (r,)=(22 ,3.463)